29280000000 has 384 divisors, whose sum is σ = 99175527360. Its totient is φ = 7680000000.

The previous prime is 29279999993. The next prime is 29280000011. The reversal of 29280000000 is 8292.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479999970 + ... + 480000030.

Almost surely, 2^29280000000 is an apocalyptic number.

29280000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29280000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49587763680).

29280000000 is an abundant number, since it is smaller than the sum of its proper divisors (69895527360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29280000000 is an frugal number, since it uses more digits than its factorization.

29280000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 29280000000 its reverse (8292), we get a palindrome (29280008292).

The spelling of 29280000000 in words is "twenty-nine billion, two hundred eighty million", and thus it is an aban number.